What is 39/91 Divided By 6/7

Solving $\frac{39}{91}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{39}{91} \div \frac{6}{7} = \frac{39}{91} \times \frac{7}{6}$

• Multiply the Numerators: $39 \times 7 = 273$
• Multiply the Denominators: $91 \times 6 = 546$
• Form the New Fraction: $\frac{39}{91} \times \frac{6}{7} = \frac{273}{546}$

Let's Simplify $\frac{273}{546}$

• Find the Greatest Common Divisor (GCD) of $273$ and $546$. The GCD of $273$ and $546$ is $273$.
• Divide both the numerator and the denominator by the GCD:$\frac{273 \div 273}{546 \div 273} = \frac{1}{2}$

Answer $\frac{39}{91}\div\frac{6}{7} = \frac{1}{2}$

The following animation demonstrates the divide-by,